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Finding the Fourth Proportional to 3,787.74, 5,681.48 and 1,322.55

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Solution

The fourth proportional to 3,787.74, 5,681.48 and 1,322.55 is: 1,983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.74 : 5,681.48 = 1,322.55 : x
  2. Step 2: Convert to fraction form
    3,787.74/5,681.48 = 1,322.55/x
  3. Step 3: Cross multiply
    3,787.74x = 5,681.48 × 1,322.55
  4. Step 4: Simplify right side
    3,787.74x = 7,514,034.76
  5. Step 5: Solve for x
    x = 7,514,034.76/3,787.74
  6. Step 6: Final answer
    x = 1,983.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.